Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree
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Publication:2419945
DOI10.1007/s00208-018-1642-7zbMath1436.32069arXiv1612.02760OpenAlexW2580175840MaRDI QIDQ2419945
Publication date: 4 June 2019
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.02760
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Currents (32U40) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)
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Cites Work
- Blenders near polynomial product maps of \(\mathbb{C}^2\)
- Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
- Dynamics of polynomial-like mappings
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- Perturbations of examples of Lattès and Hausdorff dimension of bifurcation place
- Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\)
- A characterization of holomorphic chains
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- On the entropy of holomorphic maps
- Geometric measure theory.
- Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\)
- Geometry of currents, intersection theory and dynamics of horizontal-like maps
- On stability and hyperbolicity for polynomial automorphisms of C^2
- On the dynamics of rational maps
- Some typical properties of the dynamics of rational maps
- Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
- Bifurcations in the elementary Desboves family
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Bifurcation currents in holomorphic dynamics on
- Dynamics of rational maps: A current on the bifurcation locus
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